Simplify Square Root of 5625




Here we will show you step-by-step how to simplify the square root of 5625. The square root of 5625 can be written as follows:
     
  5625  

The √ symbol is called the radical sign. To simplify the square root of 5625 means to get the simplest radical form of √5625.

Step 1: List Factors
List the factors of 81 like so:

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 9, 25, 225, 625, 5625

Since 5625 is on the list of perfect squares above, it means that 5625 is a perfect square.

That means you can simplify the square root of 5625 without the radical as follows:

75


Furthermore, you may also be interested to know that the square root of 5625 can be written with an Exponent like this:

5625½

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Simplify Square Root of 5626
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* List of Perfect Squares




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